390180 has 48 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 89088.

The previous prime is 390161. The next prime is 390191. The reversal of 390180 is 81093.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45 + ... + 884.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2³⁹⁰¹⁸⁰ is an apocalyptic number.

390180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

390180 is an abundant number, since it is smaller than the sum of its proper divisors (859740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

390180 is a wasteful number, since it uses less digits than its factorization.

390180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 390180 is about 624.6438985534. The cubic root of 390180 is about 73.0726742327.

The spelling of 390180 in words is "three hundred ninety thousand, one hundred eighty".